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A218012 Decimal expansion of -sqrt(7) + sqrt(11), Andrica's Maximum A_n. 2

%I #22 Jul 01 2023 14:33:58

%S 6,7,0,8,7,3,4,7,9,2,9,0,8,0,9,2,5,8,6,1,3,3,1,6,9,8,3,0,3,1,4,2,6,2,

%T 5,8,2,1,6,8,2,9,3,6,2,5,0,6,9,0,3,4,1,6,6,9,0,3,4,7,6,8,6,9,1,5,4,1,

%U 5,8,1,9,3,7,8,7,6,0,2,1,8,9,4,8,4,5,0,5,1,2,6,5,3,7,4,7,0,4,0,2,9,1,9,4,7

%N Decimal expansion of -sqrt(7) + sqrt(11), Andrica's Maximum A_n.

%C For each consecutive prime pair, p and q with p < q, d = -sqrt(p) + sqrt(q) is unique. Place d in order from greatest to least and specify p. This is the maximum d.

%H Titu Andreescu and Dorin Andrica, <a href="http://blngcc.files.wordpress.com/2008/11/andreescu-andrica-problems-on-number-theory.pdf">Number Theory, Structures, Examples, and Problems</a>.

%H Marek Wolf, <a href="http://arxiv.org/abs/1010.3945">A Note on the Andrica Conjecture</a>, arXiv:1010.3945 [math.NT] (2010).

%e 0.670873479290809258613316983031426258216829362506903416690347686915...

%t RealDigits[- Sqrt[7] + Sqrt[11], 10, 111][[1]]

%Y Cf. A079296, A218014, A218015.

%K cons,nonn

%O 0,1

%A Marek Wolf and _Robert G. Wilson v_, Oct 18 2012

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Last modified June 7 05:04 EDT 2024. Contains 373140 sequences. (Running on oeis4.)